A street light is at the top of a 16 ft tall pole. A woman 6 ft tall walks away from the pole with a speed of 4 ft/sec along a straight path. How fast is the tip of her shadow moving along the ground when she is 50 ft from the base of the pole?

Question

Physics

Guest

16 September, 18:14

A street light is at the top of a 16 ft tall pole. A woman 6 ft tall walks away from the pole with a speed of 4 ft/sec along a straight path. How fast is the tip of her shadow moving along the ground when she is 50 ft from the base of the pole?

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Answers (1)

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Maxwell Anderson · Answer 1

4 ft/sec

Explanation:

Given:

16 ft = height of a street light on top of a pole

6 ft = height of a woman

4 ft/s = speed that the woman is walking away from the pole along a straight path

50 ft = distance of woman from the pole at the specific time they want to know the speed of the tip of the man's shadow.

solution:

A woman 6 ft tall walks away from the pole with a speed of 4 ft/sec along a straight path. if we let t be the time in seconds and x be the distance from the pole to the woman in ft then we are given that dx/dt=4 ft/sec